In noncommutative space, we examine the problem of a
noninteracting and harmonically trapped Bose-Einstein condensate,
and derive a simple analytic expression for the effect of spatial
noncommutativity on energy spectrum of the condensate. It
indicates that the ground-state energy incorporating the spatial
noncommutativity is reduced to a lower level, which depends upon
the noncommutativity parameter θ. The gap between
the noncommutative space and commutative one for the ground-state
level of the condensate should be a signal of spatial noncommutativity.
The ultrasonic intensities in the optical components induced by the transient stimulated Brillouin scattering are calculated. Through numerical study, the dependence of influence induced by SBS procession on parameters of medium are investigated.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.